Monday, October 21, 2019
Free Essays on Customer Taste With Mixed Logit
I. Introduction In situations where customers choose among products, a customerââ¬â¢s taste parameters reflect the value that the customer places on each attribute of the products. Knowing the tastes of individual customers, as well as the distribution of tastes in the population, allows firms to design products that attract specific customers, recognize opportunities for targeted marketing, and identify groups of customers with similar tastes. Prediction of choices in new situations, which is important for assessing the market feasibility of new products, is also improved with information on individual customersââ¬â¢ tastes. Previously in this journal (Revelt and Train, 1998), we described discrete-choice procedures to estimate the distribution of tastes in the population. In the present paper, we extend these procedures, showing how the models can be used to make inferences about the tastes of each sampled customer. The general procedure is similar to the approaches of other studies, described in the next paragraph, that have inferred observation-specific information from estimates of the overall distribution of this information and the observation-specific dependent variable. Stated succinctly: The probability of outcome yn for observation n, labeled ) | ( n n y P , depends on information n that the researcher cannot observe. The unobserved information has density ) | ( n g , characteristized by parameters . The marginal probability of outcome yn is therefore = n n n n n d g y P y P ) | ( ) | ( ) | ( , and the log-likelihood function for = is LL= n n y P ) | ( ln , which is maximized to provide an estimator of .= Inference about each observationââ¬â¢s n utilizes yn in relation to ) ( g . In particular, the conditional density 3 of n is ) | ( ) | ( ) | ( ) , | ( n ... Free Essays on Customer Taste With Mixed Logit Free Essays on Customer Taste With Mixed Logit I. Introduction In situations where customers choose among products, a customerââ¬â¢s taste parameters reflect the value that the customer places on each attribute of the products. Knowing the tastes of individual customers, as well as the distribution of tastes in the population, allows firms to design products that attract specific customers, recognize opportunities for targeted marketing, and identify groups of customers with similar tastes. Prediction of choices in new situations, which is important for assessing the market feasibility of new products, is also improved with information on individual customersââ¬â¢ tastes. Previously in this journal (Revelt and Train, 1998), we described discrete-choice procedures to estimate the distribution of tastes in the population. In the present paper, we extend these procedures, showing how the models can be used to make inferences about the tastes of each sampled customer. The general procedure is similar to the approaches of other studies, described in the next paragraph, that have inferred observation-specific information from estimates of the overall distribution of this information and the observation-specific dependent variable. Stated succinctly: The probability of outcome yn for observation n, labeled ) | ( n n y P , depends on information n that the researcher cannot observe. The unobserved information has density ) | ( n g , characteristized by parameters . The marginal probability of outcome yn is therefore = n n n n n d g y P y P ) | ( ) | ( ) | ( , and the log-likelihood function for = is LL= n n y P ) | ( ln , which is maximized to provide an estimator of .= Inference about each observationââ¬â¢s n utilizes yn in relation to ) ( g . In particular, the conditional density 3 of n is ) | ( ) | ( ) | ( ) , | ( n ...
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